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Finding the Third Proportional to 135,854 and 295,046

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Solution

The third proportional to 135,854 and 295,046 is: 640,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,854 : 295,046 = 295,046 : x
  2. Step 2: Convert to fraction form
    135,854/295,046 = 295,046/x
  3. Step 3: Cross multiply
    135,854x = 295,046 × 295,046
  4. Step 4: Simplify right side
    135,854x = 87,052,142,116
  5. Step 5: Solve for x
    x = 87,052,142,116/135,854
  6. Step 6: Final answer
    x = 640,777.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.